Difference between revisions of "Enneper surface"
From Encyclopedia of Mathematics
Ulf Rehmann (talk | contribs) m (tex encoded by computer) |
|||
| (2 intermediate revisions by the same user not shown) | |||
| Line 11: | Line 11: | ||
{{TEX|done}} | {{TEX|done}} | ||
| − | An algebraic [[Minimal surface|minimal surface]] covering a surface of revolution. Its parametric equation is | + | An algebraic [[Minimal surface|minimal surface]] covering a [[surface of revolution]]. Its parametric equation is |
$$ | $$ | ||
| Line 32: | Line 32: | ||
It was discovered by A. Enneper in 1864. | It was discovered by A. Enneper in 1864. | ||
| − | |||
| − | |||
====References==== | ====References==== | ||
| − | + | * {{Ref|a1}} J.C.C. Nitsche, "Vorlesungen über Minimalflächen", Springer (1975) {{ZBL|0319.53003}} | |
Latest revision as of 18:19, 28 March 2023
An algebraic minimal surface covering a surface of revolution. Its parametric equation is
$$ x = \frac{1}{4} ( u ^ {3} - 3 u - 3 u v ^ {2} ) , $$
$$ y = \frac{1}{4} ( 3 v + 3 u ^ {2} v - v ^ {3} ) , $$
$$ z = \frac{3}{4} ( v ^ {2} - u ^ {2} ) . $$
It was discovered by A. Enneper in 1864.
References
- [a1] J.C.C. Nitsche, "Vorlesungen über Minimalflächen", Springer (1975) Zbl 0319.53003
How to Cite This Entry:
Enneper surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Enneper_surface&oldid=46824
Enneper surface. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Enneper_surface&oldid=46824
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article